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Finding the Fourth Proportional to 1,744.73, 2,616.44 and 704.45

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Solution

The fourth proportional to 1,744.73, 2,616.44 and 704.45 is: 1,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.73 : 2,616.44 = 704.45 : x
  2. Step 2: Convert to fraction form
    1,744.73/2,616.44 = 704.45/x
  3. Step 3: Cross multiply
    1,744.73x = 2,616.44 × 704.45
  4. Step 4: Simplify right side
    1,744.73x = 1,843,151.16
  5. Step 5: Solve for x
    x = 1,843,151.16/1,744.73
  6. Step 6: Final answer
    x = 1,056.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.